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A uniform force of 3i^+j^ newton acts on a particle of mass 2 kg. Hence the particle is displaced from position 2i^+k^ meter to position 4i^+3j^k^ meter. The work done by the force on the particle is

a
13J
b
15J
c
9J
d
6J

detailed solution

Correct option is C

Here,F→=3i^+j^N Intital position, r→1=2i^+k^m Final position, r→2=4i^+3j^−k^m Diplacement,  r→=4i^+3j^−k^m−2i^+k^m =2i^+3j^−2k^m Work done, W=F→.r→=3i^+j^.2i^+3j^−2k^ =6+3=9J

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